Denjoy constructions for fibered homeomorphisms of the torus
Open Access
- 11 June 2009
- journal article
- Published by American Mathematical Society (AMS) in Transactions of the American Mathematical Society
- Vol. 361 (11), 5851-5883
- https://doi.org/10.1090/s0002-9947-09-04914-9
Abstract
We construct different types of quasiperiodically forced circle homeomorphisms with transitive but non-minimal dynamics. Concerning the recent Poincaré-like classification by Jäger and Stark for this class of maps, we demonstrate that transitive but non-minimal behaviour can occur in each of the different cases. This closes one of the last gaps in the topological classification.This publication has 17 references indexed in Scilit:
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